Differentiate the function. y = 76-z² y' =

Q: Find the derivative of the function

A:

Q: Find the derivative of the function.

A:

Q: Find the derivative of the function. y = 6sin(πx)

A: Formula:

Q: Find the 3rd derivative of the function y=ex/x.

A:

Q: Find the second order derivative if  y = xx

A:

Q: Differentiate the function. y = etan(θ)

A: Given y=etanθ Use chain rule of differentiation to differentiate the given function.

Q: Find the nth-order derivative of the function y=x3sin2x.

A:

Q: Find the derivative of the function f(x) = 2sin x %3D

A: Given       f(x)=2sin x

Q: Find the derivative of the function. 12) y = 2 secó x

A:

Q: Vt- 4 V3t - 4 y =

A:

Q: Find the derivative of the function. y = 3x + V3 3x + V3x y' =

A:

Q: Find the derivative of the cosine function y=cosx.

A: To find derivative of cosine function

Q: Find the derivative of the function y =2cosx – 3sin x +1

A: Given, y=2cosx-3sinx+1

Q: y = = Vsin va

A:

Q: calculate the derivative. y = cosh2(9 − 3t)

A:

Q: Find the derivative of the function y=x2sinx.

A: Given: y=x2 sin x To determine: Derivative of the given function.

Q: 5 Calculate the second and the third derivative of y = 6x – y": y"

A:

Q: Find the derivative of the function y=2√x−3sinx.

A: Given: fx=2x-3sinx for finding derivative of given function we use property given below…

Q: Find the derivative y = cosh(2x)

A:

Q: Find the derivative of the function. y = 2eVx

A: The chain rule for differentiation is given by ddxfgx=f'gx.ddxgx.

Q: cosx y =-

A:

Q: Find the third derivative. y = 5/x

A: Given function is y=5x. We have to find the third derivative of y=5x that is y'''. Use formula…

Q: Find the derivative of the function. 4 y=デ

A:

Q: (3x+4` x² +5, y = tan

A: We know that d(tanx)dx = sec2(x) Now we will apply chain rule , Here we have    y = tan3x+4x2 +…

Q: Find the derivative of the function. y = 3 tan(x - V1 + x 1 + x2 y' = ||

A:

Q: Find the derivative of the function. 8 +- +/5 y= 4. dx %3D

A:

Q: Find the derivative of the function y = x² cosh²3x

A:

Q: Find the derivative (x) = 2 In x – Vĩ

A: Given: fx=2lnx-x   As we know that; The sum/difference rule:  f±g'=f'±g' The Power law; ddxxn=nxn-1…

Q: Determine the derivative of у. /20x+6 y = ev y =

A:

Q: Find the derivative of y = x. %3D

A:

Q: Find the derivative of the function. 2 + arcsin 5 () y = xV 36 - x² y' =

A:

Q: Calculate the derivative of the function y=3sinx+2cosx.

A:

Q: Find the derivative of the function. .2 y = (x + 3) coth 7 y' =

A: Given that: y=(x2+3)cothx7

Q: Find the derivative of the function y 5sin(x)

A: Consider the given function

Q: Find the derivative of the function. y = x + 3 y'=

A:

Q: Calculate the derivative of the function y=x(2+3x) without using the product rule.

A: Given function is y=x2+3x. Given function can be written as y=2x+3x2. Power rule of differentiation…

Q: n. y= (x+Inx)

A:

Q: Find the derivative of the function. y = 4sin(Tx) y' = %3D

A:

Q: Find the derivative of the function. Vs - 3 f(s) = Vs +3 %3D

A:

Q: Calculate the third derivative of the function y%-xe-",

A: To find the third order derivative we use product rule of derivative formula. From the product rule…

Q: Find the derivative of the function. y = 5x 9. 3 - 13x - ヤ dx

A: y=5x3-13x-9x7

Q: Find the second derivative of the function f(x) = sec2x

A: Given: f(x)=sec2(x)

Q: Find the derivative of the function. y = x² cosh²3x

A:

Q: 2.) y = tan¬1 – 6•x³ y' =

A: We have to find the derivative of the function: y=tan-1-6·x3 We know the formula of derivatives,…

Q: Find the derivative car (x+y) = yrinx

A:

Q: Find the derivative of the function. X +8x + 3 y3D VX

A: Here we use the quotient rule of differentiation ddxuv =vdudx-udvdxv2

Q: w(x) %3D хе*

A: To find the second derivative of function w(x)=xex

Q: Calculate the derivative of the function y=x.

A:

Q: Find the derivative of the function. 7. y%3D Vx +2 y'

A:

Q: Calculate the second and the third derivative of y = 5x- 9 y": y"

A: Using derivatives rule & formula.